Is there a word for someone who is a lover of the incidental or coincidence?

Are you thinking of serendipitous?

serendipity |ˌserənˈdipitē| noun the occurrence and development of events by chance in a happy or beneficial way : a fortunate stroke of serendipity | a series of small

Otherwise, maybe you are thinking of aleatoric composition?

aleatory |ˈālēəˌtôrē; ˈal-| adjective depending on the throw of a die or on chance; random. • relating to or denoting music or other forms of art involving elements of random choice (sometimes using statistical or computer techniques) during their composition, production, or performance.

I suspect you mean the former, but it's not entirely clear to me from your question.

[Source: New Oxford American Dictionary]

Frankly, for a song title, I think you will be better off looking for an allegory rather than a word that means literally what you describe.

Now I suppose if a person enjoys the ups and downs of being blown by the wind then tumbleweed might fit the bill.

If the person sails the ocean in hope of floating delights then treasure hunter or pirate might work.

If one indiscriminately filters everything through their body looking for edible protein then they might be a whale.

But now this is getting ridiculous, and I hardly think I've helped you.